Hardy's generalization of eᶻ and related analogs of cosine and sine

dc.citation.epage	14	en_US
dc.citation.issueNumber	1	en_US
dc.citation.spage	1	en_US
dc.citation.volumeNumber	6	en_US
dc.contributor.author	Ostrovskii, I.	en_US
dc.date.accessioned	2019-01-31T06:51:44Z
dc.date.available	2019-01-31T06:51:44Z
dc.date.issued	2006	en_US
dc.department	Department of Mathematics	en_US
dc.description.abstract	In 1904, Hardy introduced an entire function depending on two parameters being a generalization of e z. He had studied in detail its asymptotic properties and that of its zeros. We consider the two following non-asymptotic problems related to the zeros. (i) Determine values of the parameters such that all the zeros belong to the open left half-plane. For these values, the analogs of sine and cosine generated by Hardy’s function have real, simple and interlacing zeros. (ii) Determine the number of real zeros as a function of the parameters.	en_US
dc.identifier.eissn	2195-3724
dc.identifier.issn	1617-9447
dc.identifier.uri	http://hdl.handle.net/11693/48572
dc.language.iso	English	en_US
dc.publisher	Springer	en_US
dc.source.title	Computational Methods and Function Theory	en_US
dc.subject	Class P	en_US
dc.subject	Integral representation	en_US
dc.subject	Levin's generalization of the Hermite - Biehler theorem	en_US
dc.subject	Logarithmic derivative	en_US
dc.subject	Rolle's theorem	en_US
dc.title	Hardy's generalization of eᶻ and related analogs of cosine and sine	en_US
dc.type	Article	en_US

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